报告人: 李东宸 博士 （University of Sao Paulo）
报告题目: Heterodimensional Cycles Born from a Pair of Homoclinic Tangencies in C^r Diffeomorphisms (I)
报告摘要：We consider heterodimensional cycles in C^r (r > 3) diffeomorphisms. We show that, under certain conditions, if a C^r diffeomorphism F has a saddle periodic point O and two orbits of non-degenerate homoclinic tangency associated to O, then heterodimensional cycles can be created by unfolding these tangencies simultaneously, where the resulting cycles are associated to O and a new periodic orbit comes from the unfolding. In the first talk, we describe the problem setting and create a transverse intersection between the invariant manifolds of O and a periodic point with a different index.
报告时间:  2017年6月9日（星期五）上午 10:00 - 11:00
报告地点:  科技楼南楼602室

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报告人: 李东宸 博士 （University of Sao Paulo）
报告题目: Heterodimensional Cycles Born from a Pair of Homoclinic Tangencies in C^r Diffeomorphisms (II)
报告摘要：We continue the discussion in the previous talk. We show the existence of a non-transverse intersection between the invariant manifolds of O and a periodic point with a different index, and, therefore, create a heterodimensional cycle.
报告时间:  2017年6月9日（星期五）下午 2:00 - 3:00
报告地点:  科技楼南楼602室